any common approximate solution of the equations Sx=x and Tx=x. In light of the fact that the distance between x and Sx … theorem ascertains global minimum of both functions x⟶d(x,Sx) and x⟶d(x,Tx) by limiting a common approximate solution of the …

In vector optimization many notions of approximate solution have been proposed in the literature. In this paper an … axiomatic approach is introduced in order to study the approximate solution map of a vector optimization problem in the image … whole admissible set. Moreover, the geometry of the approximate solution map is studied in the special case of polyhedral …

}$$</EquationSource> </InlineEquation>, this paper discusses the existence of an optimal approximate solution, designated as a best proximity point of the … determining such an optimal approximate solution is furnished. Further, the result established in this paper realizes an …